Extensions 1→N→G→Q→1 with N=C₄ and Q=Q₈⋊D₇

Direct product G=N×Q with N=C₄ and Q=Q₈⋊D₇

		d	ρ	Label	ID
C₄×Q₈⋊D₇		224		C4xQ8:D7	448,559

Semidirect products G=N:Q with N=C₄ and Q=Q₈⋊D₇

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄⋊₁(Q₈⋊D₇) = C₂₈⋊₆SD₁₆	φ: Q₈⋊D₇/C₇⋊C₈ → C₂ ⊆ Aut C₄	224		C4:1(Q8:D7)	448,619
C₄⋊₂(Q₈⋊D₇) = C₂₈⋊₅SD₁₆	φ: Q₈⋊D₇/D₂₈ → C₂ ⊆ Aut C₄	224		C4:2(Q8:D7)	448,617
C₄⋊₃(Q₈⋊D₇) = Q₈⋊D₂₈	φ: Q₈⋊D₇/C₇×Q₈ → C₂ ⊆ Aut C₄	224		C4:3(Q8:D7)	448,561

Non-split extensions G=N.Q with N=C₄ and Q=Q₈⋊D₇

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄.₁(Q₈⋊D₇) = C₁₄.D₁₆	φ: Q₈⋊D₇/C₇⋊C₈ → C₂ ⊆ Aut C₄	224		C4.1(Q8:D7)	448,48
C₄.₂(Q₈⋊D₇) = C₅₆.₆D₄	φ: Q₈⋊D₇/C₇⋊C₈ → C₂ ⊆ Aut C₄	448		C4.2(Q8:D7)	448,49
C₄.₃(Q₈⋊D₇) = C₂₈.SD₁₆	φ: Q₈⋊D₇/C₇⋊C₈ → C₂ ⊆ Aut C₄	448		C4.3(Q8:D7)	448,613
C₄.₄(Q₈⋊D₇) = C₂₈.Q₁₆	φ: Q₈⋊D₇/C₇⋊C₈ → C₂ ⊆ Aut C₄	448		C4.4(Q8:D7)	448,615
C₄.₅(Q₈⋊D₇) = C₂₈.D₈	φ: Q₈⋊D₇/C₇⋊C₈ → C₂ ⊆ Aut C₄	224		C4.5(Q8:D7)	448,622
C₄.₆(Q₈⋊D₇) = C₅₆.Q₈	φ: Q₈⋊D₇/D₂₈ → C₂ ⊆ Aut C₄	112	4	C4.6(Q8:D7)	448,44
C₄.₇(Q₈⋊D₇) = D₅₆⋊₈C₄	φ: Q₈⋊D₇/D₂₈ → C₂ ⊆ Aut C₄	112	4	C4.7(Q8:D7)	448,45
C₄.₈(Q₈⋊D₇) = C₂₈.₅Q₁₆	φ: Q₈⋊D₇/D₂₈ → C₂ ⊆ Aut C₄	448		C4.8(Q8:D7)	448,103
C₄.₉(Q₈⋊D₇) = C₂₈.₁₀D₈	φ: Q₈⋊D₇/D₂₈ → C₂ ⊆ Aut C₄	448		C4.9(Q8:D7)	448,104
C₄.₁₀(Q₈⋊D₇) = D₂₈⋊₅Q₈	φ: Q₈⋊D₇/D₂₈ → C₂ ⊆ Aut C₄	224		C4.10(Q8:D7)	448,618
C₄.₁₁(Q₈⋊D₇) = C₂₈.₄₇D₈	φ: Q₈⋊D₇/C₇×Q₈ → C₂ ⊆ Aut C₄	448		C4.11(Q8:D7)	448,39
C₄.₁₂(Q₈⋊D₇) = C₄.D₅₆	φ: Q₈⋊D₇/C₇×Q₈ → C₂ ⊆ Aut C₄	224		C4.12(Q8:D7)	448,42
C₄.₁₃(Q₈⋊D₇) = C₂₈.₄₈SD₁₆	φ: Q₈⋊D₇/C₇×Q₈ → C₂ ⊆ Aut C₄	448		C4.13(Q8:D7)	448,554
C₄.₁₄(Q₈⋊D₇) = C₂₈.₃₉SD₁₆	central extension (φ=1)	448		C4.14(Q8:D7)	448,37
C₄.₁₅(Q₈⋊D₇) = D₂₈⋊₂C₈	central extension (φ=1)	224		C4.15(Q8:D7)	448,40
C₄.₁₆(Q₈⋊D₇) = C₂₈.₂₆Q₁₆	central extension (φ=1)	448		C4.16(Q8:D7)	448,92

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